Discussion
If the cap separation of that box is increased from \( 300 \) mm to \( 400 \) mm at constant cap area, the second moment of area is multiplied by
Answer: B
Correct answer: 1.78
With the cap areas unchanged the second moment goes as the square of the separation: \[ \left(\frac{400}{300}\right)^2 = 1.78. \] A third more depth buys nearly four fifths more stiffness for no extra material, which is why depth is the first thing a designer reaches for.
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